{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.简述仿射变换和透视变换的基本概念，并用实例说明\n",
    "### 1.1. 仿射变换的基本概念\n",
    "    仿射变换描述的是二维坐标下的变换操作，包括有平移、旋转和比例等，每一种操作均可以表示为矩阵的形式。需要注意的是，图像经过仿射变换后，原来的直线和平行线仍然为直线和平行线\n",
    "#### 1.1.1 平移变换\n",
    "$$ \\left[ \\begin{array} {cccc}\n",
    "u\\\\\n",
    "v\\end{array} \\right] =  \\left[ \\begin{array} {cccc}\n",
    "x\\\\\n",
    "y\\end{array} \\right]+\\left[ \\begin{array} {cccc}\n",
    "x_0\\\\\n",
    "y_0\\end{array} \\right]$$ \n",
    "其中$x_0$和$y_0$分别为x和y的坐标平移量。\n",
    "#### 1.1.2 旋转变化（按照绕原点逆时针方向旋转角度$\\theta$) \n",
    "$$ \\left[ \\begin{array} {cccc}\n",
    "u\\\\\n",
    "v\\end{array} \\right] =  \\left[ \\begin{array} {cccc}\n",
    "cos(\\theta)&sin(\\theta)\\\\\n",
    "-sin(\\theta)&cos(\\theta)\\end{array} \\right]\\left[ \\begin{array} {cccc}\n",
    "x\\\\\n",
    "y\\end{array} \\right]$$\n",
    "#### 1.1.3 比例变换\n",
    "$$ \\left[ \\begin{array} {cccc}\n",
    "u\\\\\n",
    "v\\end{array} \\right] =  \\left[ \\begin{array} {cccc}\n",
    "s_x&0\\\\\n",
    "0&s_y\\end{array} \\right]\\left[ \\begin{array} {cccc}\n",
    "x\\\\\n",
    "y\\end{array} \\right]$$\n",
    "其中，$s_x$和$s_y$分别为x和y坐标的缩放因子，其大于1表示放大，小于1表示缩小。\n",
    "#### 1.1.4综上所述，仿射变换的基本形式可以综合表述为：\n",
    "$$ \\left[ \\begin{array} {cccc}\n",
    "u\\\\\n",
    "v\\end{array} \\right] =  \\left[ \\begin{array} {cccc}\n",
    "a_2&a_1&a_0\\\\\n",
    "b_2&b_1&b_0\\end{array} \\right]\\left[ \\begin{array} {cccc}\n",
    "x\\\\\n",
    "y\\\\\n",
    "1\\end{array} \\right] 或 \\left[ \\begin{array} {cccc}\n",
    "u\\\\\n",
    "v\\end{array} \\right] =  \\left[ \\begin{array} {cccc}\n",
    "a_2&a_1\\\\\n",
    "b_2&b_1\\end{array} \\right]\\left[ \\begin{array} {cccc}\n",
    "x\\\\\n",
    "y\\end{array} \\right]+\\left[\\begin{array} {cccc}\n",
    "a_0\\\\\n",
    "b_0\\end{array} \\right]$$\n",
    "\n",
    "### 1.1.3.仿射变换具有如下性质：\n",
    "   1. 仿射变换有6个自由度（对应变换中的6个系数），因此，仿射变换后互相平行直线仍然为平行直线，三角形映射后仍然是三角形，但却不能保证将四边形以上的多边形映射为等边数的多边形。\n",
    "   2. 仿射变换的乘积和逆变换仍是仿射变换。\n",
    "   3. 仿射变换能够实现平移、旋转、比例缩放等几何变换。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'\\n示例中的M矩阵只能做单一用途的变换，不能混合使用\\n'"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 1.1.4 仿射变换示例\n",
    "import cv2 as cv\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "img = cv.imread(r'.\\lena.jpg')\n",
    "img = cv.cvtColor(img,cv.COLOR_BGR2RGB)\n",
    "#显示原图\n",
    "plt.imshow(img)\n",
    "\n",
    "new_img = img.copy()\n",
    "#平移变换\n",
    "theta=0\n",
    "x_scale = 1\n",
    "y_scale = 1\n",
    "x_offset = 150\n",
    "y_offset = 150\n",
    "\n",
    "M = np.array([[x_scale * np.math.cos(theta),         -np.math.sin(theta),  x_offset],\n",
    "              [np.math.sin(theta),           y_scale * np.math.cos(theta),  y_offset]])\n",
    "dst = cv.warpAffine(new_img, M, (512,512))  # 将图片new_img中每个像素点都按照矩阵M运算\n",
    "#显示平移变换后的图片\n",
    "plt.imshow(dst)\n",
    "\n",
    "#旋转变换\n",
    "theta = np.pi/6\n",
    "x_scale = 1\n",
    "y_scale = 1\n",
    "x_offset = 0\n",
    "y_offset = 0\n",
    "\n",
    "M = np.array([[x_scale * np.math.cos(theta),         np.math.sin(theta),  x_offset],\n",
    "              [-np.math.sin(theta),           y_scale * np.math.cos(theta),  y_offset]])\n",
    "dst = cv.warpAffine(new_img, M, (512,512))  # 将图片new_img中每个像素点都按照矩阵M运算\n",
    "#显示旋转变换后的图片\n",
    "plt.imshow(dst)\n",
    "\n",
    "#比例变换\n",
    "theta = 0\n",
    "x_scale = 0.8\n",
    "y_scale = 0.5\n",
    "x_offset = 0\n",
    "y_offset = 0\n",
    "\n",
    "M = np.array([[x_scale * np.math.cos(theta),         np.math.sin(theta),  x_offset],\n",
    "              [-np.math.sin(theta),           y_scale * np.math.cos(theta),  y_offset]])\n",
    "dst = cv.warpAffine(new_img, M, (512,512))  # 将图片new_img中每个像素点都按照矩阵M运算\n",
    "#显示旋转变换后的图片\n",
    "plt.imshow(dst)\n",
    "\n",
    "'''\n",
    "示例中的M矩阵只能做单一用途的变换，不能混合使用\n",
    "'''"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.2. 透视变换\n",
    "### 1.2.1 透视变换的基本概念\n",
    "    把物体的三维图像表示转变为二维表示的过程，称之为透视变换，也称为投影映射，其表达式为：\n",
    "$$ \\left[ \\begin{array} {cccc}\n",
    "u'\\\\\n",
    "v'\\\\\n",
    "w'\\end{array} \\right] =  \\left[ \\begin{array} {cccc}\n",
    "a_{11}&a_{12}&a_{13}\\\\\n",
    "a_{21}&a_{22}&a_{23}\\\\\n",
    "a_{31}&a_{32}&a_{33}\\end{array} \\right]\\left[ \\begin{array} {cccc}\n",
    "x\\\\\n",
    "y\\\\\n",
    "1\\end{array} \\right]$$ \n",
    "    透视变换也是一种平面映射，并且可以保证任意方向上的直线经过透视变换后仍然为直线。\n",
    "    透视变换具有9个自由度，其变换系数为9个，因此可以实现平面四边形到四边形的映射\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1cd85f1c448>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### 1.2.2 透视变换的示例\n",
    "import cv2 as cv\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "img = cv.imread(r'.\\lena.jpg')\n",
    "img = cv.cvtColor(img,cv.COLOR_BGR2RGB)\n",
    "#显示原图\n",
    "plt.imshow(img)\n",
    "\n",
    "new_img = img.copy()\n",
    "\n",
    "old_point = np.float32([(100,100),(400,100),(100,350),(400,350)])\n",
    "new_point = np.float32([(120,120),(380,120),(110,340),(390,340)])\n",
    "\n",
    "M = cv.getPerspectiveTransform(old_point,new_point)\n",
    "dst = cv.warpPerspective(new_img, M, (512,512))\n",
    "\n",
    "plt.imshow(dst)"
   ]
  },
  {
   "attachments": {
    "%E5%9B%BE%E7%89%87.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.结合图简述图像坐标系、相机坐标系和世界坐标系的定义，并说明三者之间的变换关系\n",
    "### 2.1 像素坐标系\n",
    "像素坐标系$u-v$的原点为$O_o$，横坐标$u$和纵坐标$v$分别是图像中所在的行和列。\n",
    "![%E5%9B%BE%E7%89%87.png](attachment:%E5%9B%BE%E7%89%87.png)"
   ]
  },
  {
   "attachments": {
    "%E5%9B%BE%E7%89%87.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2 图像坐标系\n",
    "图像坐标系$x-y$的原点是$O_1$，是像素坐标系的中点，如下图所示\n",
    "![%E5%9B%BE%E7%89%87.png](attachment:%E5%9B%BE%E7%89%87.png)\n",
    "假设$(u_0,v_0)$代表在$u-v$坐标系下的坐标，$dx$和$dy$分别表示每个像素在横轴$x$和纵轴$y$的物理尺寸；则图像坐标系和像素坐标系的关系如下：\n",
    "\n",
    "$u = \\frac{x}{dx} + u_0$\n",
    "\n",
    "$v = \\frac{y}{dy} + v_0$\n",
    "\n",
    "写成齐次方程，按照矩阵形式表示，如下：\n",
    "$\n",
    "\\left[ \\begin{array}{cccc}\n",
    "       u\\\\v\\\\1 \n",
    "       \\end{array} \n",
    "    \\right] = \n",
    "\\left[ \\begin{array} {cccc}\n",
    "       \\frac{1}{dx} & 0 &u_0\\\\\n",
    "       0 & \\frac{1}{dy} & v_0\\\\\n",
    "       0 & 0 & 1\n",
    "       \\end{array}\n",
    "    \\right]\n",
    "\\left[ \\begin{array} {cccc}\n",
    "       x\\\\\n",
    "       y\\\\\n",
    "       1\n",
    "       \\end{array}\n",
    "    \\right]\n",
    "$"
   ]
  },
  {
   "attachments": {
    "%E5%9B%BE%E7%89%87.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.3 相机坐标系\n",
    "如下图所示，$O_c$为摄像机光心，$Z_c$是摄像机的光轴，$Z_c$与图像平面垂直，$O_c-O_1$为摄像机的焦距\n",
    "![%E5%9B%BE%E7%89%87.png](attachment:%E5%9B%BE%E7%89%87.png)\n",
    "\n",
    "相机坐标系和图像坐标系的关系如下：\n",
    "\n",
    "$x = f\\frac{X_c}{Z_c}$\n",
    "\n",
    "$y = f\\frac{Y_c}{Z_c}$\n",
    "\n",
    "$Z_c$$\\left[\n",
    "       \\begin{array} {cccc}\n",
    "       x\\\\y\\\\1\n",
    "       \\end{array}\n",
    "       \\right]$ = \n",
    "$\\left[\n",
    "    \\begin{array} {cccc}\n",
    "    f & 0 & 0 & 0\\\\\n",
    "    0 & f & 0 & 0\\\\\n",
    "    0 & 0 & 1 & 0\n",
    "    \\end{array}\n",
    "    \\right]$\n",
    "$\\left[\n",
    "    \\begin{array} {cccc}\n",
    "    X_c\\\\ Y_c\\\\ Z_c\\\\1\n",
    "    \\end{array}\n",
    "    \\right]$"
   ]
  },
  {
   "attachments": {
    "%E5%9B%BE%E7%89%87.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.4 世界坐标系\n",
    "世界坐标系是为了描述相机的位置而被引入的，任一维的旋转可以表示为坐标向量与核实的方阵的乘积。平移向量时第一个坐标原点与第二个坐标原点的偏移量；在世界坐标系下，存在两个重要的参数：旋转矩阵$R$和平移向量$T$，如下图：\n",
    "\n",
    "![%E5%9B%BE%E7%89%87.png](attachment:%E5%9B%BE%E7%89%87.png)\n",
    "\n",
    "相机坐标系与世界坐标系的关系如下：\n",
    "\n",
    "$\\left[\n",
    "    \\begin{array} {cccc}\n",
    "    X_c\\\\ Y_c\\\\ Z_c\\\\1\n",
    "    \\end{array}\n",
    "    \\right]$ = \n",
    "$\\left[\n",
    "    \\begin{array} {cccc}\n",
    "    R & t\\\\ \n",
    "    0^T_3 & 1\n",
    "    \\end{array}\n",
    "    \\right]$\n",
    "$\\left[\n",
    "    \\begin{array} {cccc}\n",
    "    X_w\\\\ Y_w\\\\ Z_w\\\\1\n",
    "    \\end{array}\n",
    "    \\right]$    \n",
    "其中，$R$为旋转矩阵，是$x$，$y$，$z$三个轴向旋转矩阵的乘积，即$R=RxRyRz$。T为平移向量，表示三个轴向上的平移距离，\n",
    "即$T=[T_x,T_y,T_z]^T$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.5 三者之间的变换关系\n",
    "\n",
    "$Z_c$\n",
    "$\\left[\n",
    "    \\begin{array} {cccc}\n",
    "    u\\\\v\\\\1\n",
    "    \\end{array}\n",
    "    \\right]$ = \n",
    "$\\left[\n",
    "    \\begin{array} {cccc}\n",
    "    f_x & 0   & u_0 & 0\\\\\n",
    "    0   & f_y & v_0 & 0\\\\\n",
    "    0   & 0   & 1   & 0\n",
    "    \\end{array}\n",
    "    \\right]$\n",
    "$\\left[\n",
    "    \\begin{array} {cccc}\n",
    "    R & t\\\\\n",
    "    0^T_3 &1\n",
    "    \\end{array}\n",
    "    \\right]$\n",
    "$\\left[\n",
    "    \\begin{array} {cccc}\n",
    "    X_w\\\\Y_w\\\\Z_w\\\\1\n",
    "    \\end{array}\n",
    "    \\right]$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.什么是相机的内、外参数矩阵？实际中你能结合身边的实例(如电脑摄像头、手机镜头)说明这些参数的大致值么？\n",
    "\n",
    "### 3.1 内外参数矩阵\n",
    "三个坐标系之间的关系如下：\n",
    "\n",
    "$Z_c$\n",
    "$\\left[\n",
    "    \\begin{array} {cccc}\n",
    "    u\\\\v\\\\1\n",
    "    \\end{array}\n",
    "    \\right]$ = \n",
    "$\\left[\n",
    "    \\begin{array} {cccc}\n",
    "    f_x & 0   & u_0 & 0\\\\\n",
    "    0   & f_y & v_0 & 0\\\\\n",
    "    0   & 0   & 1   & 0\n",
    "    \\end{array}\n",
    "    \\right]$\n",
    "$\\left[\n",
    "    \\begin{array} {cccc}\n",
    "    R & t\\\\\n",
    "    0^T_3 &1\n",
    "    \\end{array}\n",
    "    \\right]$\n",
    "$\\left[\n",
    "    \\begin{array} {cccc}\n",
    "    X_w\\\\Y_w\\\\Z_w\\\\1\n",
    "    \\end{array}\n",
    "    \\right]$\n",
    "\n",
    "令$M_1 = \\left[\n",
    "    \\begin{array} {cccc}\n",
    "    f_x & 0   & u_0 & 0\\\\\n",
    "    0   & f_y & v_0 & 0\\\\\n",
    "    0   & 0   & 1   & 0\n",
    "    \\end{array}\n",
    "    \\right]$，我们称$M_1$为相机内参数矩阵\n",
    "\n",
    "令$M_2 = \\left[\n",
    "    \\begin{array} {cccc}\n",
    "    R & t\\\\\n",
    "    0^T_3 &1\n",
    "    \\end{array}\n",
    "    \\right]$，我们称$M_2$为相机外参数矩阵\n",
    "\n",
    "由此我们可以得到\n",
    "\n",
    "$Z_c$\n",
    "$\\left[\n",
    "    \\begin{array} {cccc}\n",
    "    u\\\\v\\\\1\n",
    "    \\end{array}\n",
    "    \\right]$ = \n",
    "$M$\n",
    "$\\left[\n",
    "    \\begin{array} {cccc}\n",
    "    X_w\\\\Y_w\\\\Z_w\\\\1\n",
    "    \\end{array}\n",
    "    \\right]$\n",
    "\n",
    "其中$M=M_1M_2$，我们称M为投影矩阵\n",
    "\n",
    "相机的内参是与相机自身特性相关的参数，比如说焦距，像素大小等；相机的外参实在世界坐标系中的参数，比如说相机的位置，旋转方向等等\n",
    "\n",
    "### 3.2 示例说明\n",
    "假设相机参数为：焦距50mm，分辨率1920*1080，传感器尺寸22.5*15mm\n",
    "可以计算相机内参数：\n",
    "\n",
    "$u_0$ = 1920/2 = 960\n",
    "\n",
    "$y_0$ = 1080/2 = 540\n",
    "\n",
    "$d_x$ = 22.5/1920 = 0.01171875\n",
    "\n",
    "$d_y$ = 15/1080 = 0.01388889\n",
    "\n",
    "$f_x=f/dx$ = 50/0.01171875 = 4266.66667\n",
    "\n",
    "$f_y=f/dy$ = 50/0.01388889 = 3600"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. 说明使用线性法求解相对位姿时的要求输入和输出，以及求解的基本思想\n",
    "### 4.1 基于空间多点的相对位姿测量\n",
    "采用线性法求解相对位姿时，需要输入目标的六个或六个以上的非共面特征点在世界坐标系中的三维坐标，像素坐标系中的二维坐标以及相机的内参数。得到的输出为目标坐标系相对于相机坐标系的位置和姿态\n",
    "求解的基本思路如下：\n",
    "通过相机标定或相机自身参数可以获得相机的内参数和畸变参数，又一致目标特征点的三维坐标以及其在像平面的二维坐标，对于每一个特征点，均有：\n",
    "\n",
    "$Z_c\\left[ \\begin{array} {cccc}\n",
    "u\\\\\n",
    "v\\\\\n",
    "1\\end{array} \\right] =  \\left[ \\begin{array} {cccc}\n",
    "f_x&0&u_0&0\\\\\n",
    "0&f_y&v_0&0\\\\\n",
    "0&0&1&0\\end{array} \\right]\\left[ \\begin{array} {cccc}\n",
    "R&t\\\\\n",
    "0^T&1\\end{array} \\right]\\left[ \\begin{array} {cccc}\n",
    "X_w\\\\\n",
    "Y_w\\\\\n",
    "Z_w\\\\\n",
    "1\\end{array} \\right]=\\left[ \\begin{array} {cccc}\n",
    "f_x&0&u_0\\\\\n",
    "0&f_y&v_0\\\\\n",
    "0&0&1\\end{array} \\right]\\left[ \\begin{array} {cccc}\n",
    "R&t\\end{array} \\right]\\left[ \\begin{array} {cccc}\n",
    "X_w\\\\\n",
    "Y_w\\\\\n",
    "Z_w\\\\\n",
    "1\\end{array} \\right]$\n",
    "\n",
    "变换后得到：\n",
    "$Z_c\\left[\\begin{array} {cccc}\n",
    "f_x&0&u_0\\\\\n",
    "0&f_y&v_0\\\\\n",
    "0&0&1\\end{array} \\right]^{-1}\\left[\\begin{array} {cccc}\n",
    "u\\\\\n",
    "v\\\\\n",
    "1\\end{array} \\right]=\\left[\\begin{array} {cccc}\n",
    "R&t\\end{array} \\right]\\left[\\begin{array} {cccc}\n",
    "X_w\\\\\n",
    "Y_w\\\\\n",
    "Z_w\\\\\n",
    "1\\end{array} \\right]$\n",
    "\n",
    "对于每一个特征点均有：\n",
    "$Z_c\\left[\\begin{array} {cccc}\n",
    "x'\\\\\n",
    "y'\\\\\n",
    "1\\end{array} \\right]=\\left[\\begin{array} {cccc}\n",
    "r_{11}&r_{12}&r_{13}&t_1\\\\\n",
    "r_{21}&r_{22}&r_{23}&t_2\\\\\n",
    "r_{31}&r_{32}&r_{33}&t_3\\end{array} \\right]\\left[\\begin{array} {cccc}\n",
    "X_t\\\\\n",
    "Y_t\\\\\n",
    "Z_t\\\\\n",
    "1\\end{array} \\right]$\n",
    "\n",
    "展开第一行得到：$Z_cx'=r_{11}X_t+r_{12}Y_t+r_{13}Z_t+t_1$\n",
    "\n",
    "展开第二行得到：$Z_cy'=r_{21}X_t+r_{22}Y_t+r_{23}Z_t+t_2$\n",
    "\n",
    "展开第三行得到：$Z_c=r_{31}X_t+r_{32}Y_t+r_{33}Z_t+t_3$\n",
    "\n",
    "第一行和第二行分别除以第三行，可以消除$Z_c$，可以得到下列式子：\n",
    "\n",
    "$x'=\\frac{r_{11}X_t+r_{12}Y_t+r_{13}Z_t+t_1}{r_{31}X_t+r_{32}Y_t+r_{33}Z_t+t_3}$\n",
    "\n",
    "$y'=\\frac{Z_cy'=r_{21}X_t+r_{22}Y_t+r_{23}Z_t+t_2}{r_{31}X_t+r_{32}Y_t+r_{33}Z_t+t_3}$\n",
    "\n",
    "上面式子右侧分母移到左边可以得到\n",
    "\n",
    "$X_tr_{11}+Y_tr_{12}+Z_tr_{13}-x'X_tr_{31}-x'Y_tr_{32}-x'Z_tr_{33}+1.t_1+0.t_2=x't_3$\n",
    "\n",
    "$X_tr_{21}+Y_tr_{22}+Z_tr_{23}-y'X_tr_{31}-y'Y_tr_{32}-y'Z_tr_{33}+0.t_1+1.t_2=y't_3$\n",
    "\n",
    "整理成矩阵形式：\n",
    "\n",
    " $\\left[\\begin{array} {cccc}\n",
    "X_t&Y_t&Z_t&0&0&0&-x'X_t&-x'Y_t&-x'Z_t&1&0\\\\\n",
    "0&0&0&X_t&Y_t&Z_t&-y'X_t&-y'Y_t&-y'Z_t&0&1\\end{array} \\right]\\left[\\begin{array} {cccc}\n",
    "\\frac{r_{11}}{t_3}\\\\\n",
    "\\frac{r_{12}}{t_3}\\\\\n",
    "\\frac{r_{13}}{t_3}\\\\\n",
    "\\frac{r_{21}}{t_3}\\\\\n",
    "\\frac{r_{22}}{t_3}\\\\\n",
    "\\frac{r_{23}}{t_3}\\\\\n",
    "\\frac{r_{31}}{t_3}\\\\\n",
    "\\frac{r_{32}}{t_3}\\\\\n",
    "\\frac{r_{33}}{t_3}\\\\\n",
    "\\frac{t_1}{t_3}\\\\\n",
    "\\frac{t_2}{t_3}\\end{array} \\right]=\\left[\\begin{array} {cccc}\n",
    "x'\\\\\n",
    "y'\\end{array} \\right]$\n",
    "\n",
    "由上式可知，一个特征点可以得到两个方程，一共有11个未知参数，则需要6个或6个以上的非共面特征点，求得上面的11个参数后，再根据旋转矩阵的性质，可以得到约束条件：\n",
    "\n",
    "$r^2_{11}+r^2_{21}+r^2_{31}=1$\n",
    "\n",
    "由此可以求出$t_3$。\n",
    "\n",
    "需要特别注意，现在求出来的参数，并不一定使得旋转矩阵R为正交矩阵，需要对M利用QR分解，的出来的Q即为旋转矩阵。\n",
    "\n",
    "$M=\\left[\\begin{array} {cccc}\n",
    "R&t'\\end{array} \\right]=R\\left[\\begin{array} {cccc}\n",
    "I&R^{-1}t\\end{array} \\right]$\n",
    "\n",
    "最后根据旋转矩阵计算旋转角，以Rodriguez向量表示"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.2 基于平面多特征点的相对位姿测量\n",
    "采用线性法求解相对位姿时，需要目标的四个或四个以上的非共线特征点在世界坐标系中的二维坐标、像素坐标系中的二维坐标以及相机的内参数。得到的输出为目标坐标系相对相机坐标系的位置和姿态。\n",
    "\n",
    "求解的基本思路如下：\n",
    "通过相机标定或相机自身参数计算可以获取相机内参数和畸变参数，又已知目标特征点二维坐标以及其在像平面中的二维坐标，设$Z_t=0$（特征共面），则对于每一个特征点，均有：\n",
    "\n",
    "$Z_c\\left[\\begin{array} {cccc}\n",
    "x'\\\\\n",
    "y'\\\\\n",
    "1\\end{array} \\right]=\\left[\\begin{array} {cccc}\n",
    "r_{11}&r_{12}&r_{13}&t_1\\\\\n",
    "r_{21}&r_{22}&r_{23}&t_2\\\\\n",
    "r_{31}&r_{32}&r_{33}&t_3\\end{array} \\right]\\left[\\begin{array} {cccc}\n",
    "X_t\\\\\n",
    "Y_t\\\\\n",
    "0\\\\\n",
    "1\\end{array} \\right]=\\left[\\begin{array} {cccc}\n",
    "r_{11}&r_{12}&t_1\\\\\n",
    "r_{21}&r_{22}&t_2\\\\\n",
    "r_{31}&r_{32}&t_3\\end{array} \\right]\\left[\\begin{array} {cccc}\n",
    "X_t\\\\\n",
    "Y_t\\\\\n",
    "1\\end{array} \\right]$\n",
    "\n",
    "由此可以得到两个方程，如下：\n",
    "\n",
    "$x'=\\frac{r_{11}X_t+r_{12}Y_t++t_1}{r_{31}X_t+r_{32}Y_t+t_3}$\n",
    "$y'=\\frac{Z_cy'=r_{21}X_t+r_{22}Y_t+t_2}{r_{31}X_t+r_{32}Y_t+t_3}$\n",
    "\n",
    "化简并整理成矩阵形式如下：\n",
    "   \n",
    "$\\left[\\begin{array} {cccc}\n",
    "X_t&Y_t&0&0&-x'X_t&-x'Y_t&1&0\\\\\n",
    "0&0&X_t&Y_t&-y'X_t&-y'Y_t&0&1\\end{array} \\right]\\left[\\begin{array} {cccc}\n",
    "\\frac{r_{11}}{t_3}\\\\\n",
    "\\frac{r_{12}}{t_3}\\\\\n",
    "\\frac{r_{21}}{t_3}\\\\\n",
    "\\frac{r_{22}}{t_3}\\\\\n",
    "\\frac{r_{31}}{t_3}\\\\\n",
    "\\frac{r_{32}}{t_3}\\\\\n",
    "\\frac{t_1}{t_3}\\\\\n",
    "\\frac{t_2}{t_3}\\end{array} \\right]=\\left[\\begin{array} {cccc}\n",
    "x'\\\\\n",
    "y'\\end{array} \\right]$\n",
    "\n",
    "一个特征点可以有两个方程，所以4个或4个以上的非共线特征点就可以求出以上8个未知参数。\n",
    "\n",
    "再根据约束条件（旋转矩阵在每一列具有单位长度的性质）：\n",
    "$r^2_{11}+r^2_{21}+r^2_{31}=1$,可以求出$t_3$\n",
    "   \n",
    "再利用约束条件（旋转矩阵任意两列都是正交的）:\n",
    "$r_3=r_1×r_2$,可以求出旋转矩阵的第三列$r_3$。\n"
   ]
  },
  {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.说明使用Zhang方法进行相机标定需要的输入条件和得到的具体输出量，以及Zhang方法的主要步骤\n",
    "\n",
    "### 5.1 输入条件\n",
    "目标物体的多个pose的图片数据，一般20-30张，特征焦点在目标平面的坐标以及在相机像素平面上的坐标\n",
    "\n",
    "### 5.2 输出量\n",
    "相机的内参数矩阵，畸变参数以及外参数矩阵\n",
    "\n",
    "### 5.3 Zhang方法的主要步骤\n",
    "1）对一个pose，计算单应矩阵（类似M矩阵）\n",
    "2）有三个以上pose，根据单应矩阵计算线性相机参数\n",
    "3）使用非线性优化方法计算非线性参数\n",
    "\n",
    "考虑相机的线性模型\n",
    "\n",
    "$Z_c\\left[ \\begin{array} {cccc}\n",
    "u\\\\\n",
    "v\\\\\n",
    "1\\end{array} \\right] =  \\left[ \\begin{array} {cccc}\n",
    "f_x&0&u_0&0\\\\\n",
    "0&f_y&v_0&0\\\\\n",
    "0&0&1&0\\end{array} \\right]\\left[ \\begin{array} {cccc}\n",
    "R&t\\\\\n",
    "0^T&1\\end{array} \\right]\\left[ \\begin{array} {cccc}\n",
    "X_w\\\\\n",
    "Y_w\\\\\n",
    "Z_w\\\\\n",
    "1\\end{array} \\right] =  \\left[ \\begin{array} {cccc}\n",
    "m_{11}&m_{12}&m_{13}&m_{14}\\\\\n",
    "m_{21}&m_{22}&m_{23}&m_{24}\\\\\n",
    "m_{31}&m_{32}&m_{33}&m_{34}\\end{array} \\right]\\left[ \\begin{array} {cccc}\n",
    "X_t\\\\\n",
    "Y_t\\\\\n",
    "Z_t\\\\\n",
    "1\\end{array} \\right]$\n",
    "\n",
    "平面靶标的单应矩阵如下：\n",
    "![%E5%9B%BE%E7%89%87.png](attachment:%E5%9B%BE%E7%89%87.png)\n",
    "求解单应矩阵如下：\n",
    "![%E5%9B%BE%E7%89%87.png](attachment:%E5%9B%BE%E7%89%87.png)\n",
    "![%E5%9B%BE%E7%89%87.png](attachment:%E5%9B%BE%E7%89%87.png)\n",
    "![%E5%9B%BE%E7%89%87.png](attachment:%E5%9B%BE%E7%89%87.png)\n",
    "![%E5%9B%BE%E7%89%87.png](attachment:%E5%9B%BE%E7%89%87.png)\n",
    "![%E5%9B%BE%E7%89%87.png](attachment:%E5%9B%BE%E7%89%87.png)\n",
    "![%E5%9B%BE%E7%89%87.png](attachment:%E5%9B%BE%E7%89%87.png)\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
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   "outputs": [],
   "source": []
  }
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